Finite Group Databasebeta

← #30575970

Subgroups — #30575970

Order 15616.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459785C211yesmaximal, characteristic, complemented
2#21459427C211yesmaximal, characteristic, complemented
3#21458772C211yesmaximal, characteristic, complemented
4#21458771C211yesmaximal, characteristic, complemented
5#21458580C211yesmaximal, characteristic, complemented
6#21458565C211yesmaximal, characteristic, complemented
7#21458420C211yesmaximal, characteristic, complemented
8#21458385C211yesmaximal, characteristic, complemented
9#21458301C211yesmaximal, characteristic, complemented
10#21458299C211yesmaximal, characteristic, complemented
11#21458284C211yesmaximal, characteristic, complemented
12#21458271C211yesmaximal, characteristic, complemented
13#21458030C211yesmaximal, characteristic, complemented
14#21458015C211yesmaximal, characteristic, complemented
15#21457967C211yesmaximal, characteristic, complemented
16#21457895C211yesmaximal, characteristic, complemented
17#21457847C211yesmaximal, characteristic, complemented
18#21457775C211yesmaximal, characteristic, complemented
19#21457217C211yesmaximal, characteristic, complemented
20#21457168C211yesmaximal, characteristic, complemented
21#21457058C211yesmaximal, characteristic, complemented
22#21457005C211yesmaximal, characteristic, complemented
23#21456985C211yesmaximal, characteristic, complemented
24#21455956C211yesmaximal, characteristic, complemented
25#21455922C211yesmaximal, characteristic, complemented
26#21455865C211yesmaximal, characteristic, complemented
27#21455642C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#478×D61C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3251C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840488C2211yescharacteristic, complemented
34#16840473C2211yescharacteristic
35#16840473C2211yescharacteristic
36#16840471C2211yescharacteristic, complemented
37#16840470C2211yescharacteristic, complemented
38#16840464C2211yescharacteristic, complemented
39#16840462C2211yescharacteristic
40#16840459—21no—
41#16840459C2211yescharacteristic
42#16840459C2211yescharacteristic
43#16840454C2211yescharacteristic, complemented
44#16840453C2211yescharacteristic
45#16840451—21no—
46#16840449—21no—
47#16840445—21no—
48#16840442—21no—
49#16840442—21no—
50#16840412C2211yescharacteristic, complemented
51#16840410—21no—
52#16840409—21no—
53#16840409C2211yescharacteristic
54#16840409C2211yescharacteristic
55#16840397C2211yescharacteristic
56#16840369—21no—
57#16840354—21no—
58#16840353—21no—
59#16840318C2211yescharacteristic, complemented
60#16840294—21no—
61#16840294C2211yescharacteristic
62#16840294C2211yescharacteristic
63#16840291C2211yescharacteristic, complemented
64#16840291C2211yescharacteristic, complemented
65C2×#14519769C2211yescharacteristic, complemented
66#125×D61C2211yescharacteristic, complemented
67#16840269—21no—
68#16840269—21no—
69#16840241—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840168C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840126C2211yescharacteristic
83#16840120C2211yescharacteristic, complemented
84#16840120C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840094C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840083C2211yescharacteristic, complemented
97#16840079C2211yescharacteristic
98#16840079C2211yescharacteristic, complemented
99#16840078C2211yescharacteristic, complemented
100#16840078C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic
102#16840074C2211yescharacteristic, complemented
103#16840073C2211yescharacteristic, complemented
104#16840073C2211yescharacteristic, complemented
105#16840071C2211yescharacteristic, complemented
106#16840070C2211yescharacteristic, complemented
107#16840070C2211yescharacteristic, complemented
108#16840070C2211yescharacteristic, complemented
109#16840070C2211yescharacteristic, complemented
110#16840067C2211yescharacteristic, complemented
111#16840066C2211yescharacteristic, complemented
112#16840065C2211yescharacteristic
113#16840064C2211yescharacteristic, complemented
114#16840064C2211yescharacteristic, complemented
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840062C2211yescharacteristic, complemented
120#16840062C2211yescharacteristic, complemented
121#16840062C2211yescharacteristic, complemented
122#16840062C2211yescharacteristic, complemented
123#16840061C2211yescharacteristic
124#16840060C2211yescharacteristic, complemented
125#16840060C2211yescharacteristic, complemented
126#16840059C2211yescharacteristic
127#16840051C2211yescharacteristic
128#16840050C2211yescharacteristic, complemented
129#16840041C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840019C2211yescharacteristic, complemented
132#16840012C2211yescharacteristic
133#16840007C2211yescharacteristic, complemented
134#16840005C2211yescharacteristic
135#16840002C2211yescharacteristic, complemented
136#16839995C2211yescharacteristic
137#16839990C2211yescharacteristic, complemented
138#16839988C2211yescharacteristic
139#16839982C2211yescharacteristic, complemented
140#16839982C2211yescharacteristic, complemented
141#16839981C2211yescharacteristic, complemented
142#16839975C2211yescharacteristic, complemented
143#16839975C2211yescharacteristic, complemented
144#16839974C2211yescharacteristic
145#16839922C2211yescharacteristic
146#16839911C2211yescharacteristic
147#16839911C2211yescharacteristic
148#16839905C2211yescharacteristic
149#16839894C2211yescharacteristic
150#16839894C2211yescharacteristic
151#16839891C2211yescharacteristic, complemented
152#16839891C2211yescharacteristic, complemented
153#16839874C2211yescharacteristic, complemented
154#16839872C2211yescharacteristic
155#16839871C2211yescharacteristic
156#16839867C2211yescharacteristic, complemented
157#16839865C2211yescharacteristic
158#16839863C2211yescharacteristic, complemented
159#16839862C2211yescharacteristic, complemented
160#16839860C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic, complemented
162#16839847C2211yescharacteristic
163D8×Dic61C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic
165#16839838C2211yescharacteristic, complemented
166#16839838C2211yescharacteristic, complemented
167#16839832C2211yescharacteristic
168#16839832C2211yescharacteristic
169#16839831C2211yescharacteristic, complemented
170#16839831C2211yescharacteristic, complemented
171#16839819C2211yescharacteristic, complemented
172#16839818C2211yescharacteristic, complemented
173#16839814C2211yescharacteristic, complemented
174#16839804C2211yescharacteristic, complemented
175#16839804C2211yescharacteristic, complemented
176#16839803C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178#107×D61C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic
183#16839765C2211yescharacteristic
184#16839764C2211yescharacteristic
185#16839764C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#532C2211yescharacteristic
189C61×#529C2211yescharacteristic, complemented
190C61×#478C2211yescharacteristic, complemented
191C61×#478C2211yescharacteristic, complemented
192C61×#475C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#469C2211yescharacteristic, complemented
196C61×#468C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#463C2211yescharacteristic, complemented
199C61×#463C2211yescharacteristic, complemented
200C61×#460C2211yescharacteristic
201C61×#459C2211yescharacteristic
202C61×#423C2211yescharacteristic, complemented
203C2×#11758222D411yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×D4×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C2×#11758202C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519772—21no—
223#14519771—21no—
224#14519770—21no—
225#14519770—21no—
226#14519770—21no—
227#14519770—21no—
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519769—21no—
233#14519769—21no—
234#14519769—21no—
235#14519769C2311yescharacteristic
236#14519769C2311yescharacteristic
237#14519769C2311yescharacteristic
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768—21no—
241#14519768—21no—
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519764—21no—
251#14519764C2311yescharacteristic
252#14519764C2311yescharacteristic
253#14519762—21no—
254#14519761—21no—
255#14519761—21no—
256#14519760—21no—
257#14519759—21no—
258#14519759—21no—
259#14519759—21no—
260#14519759—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519758—21no—
265#14519758—21no—
266#14519758—21no—
267#14519758—21no—
268#14519758—21no—
269#14519757—21no—
270#14519757—21no—
271#14519757C2311yescharacteristic
272#14519757C2311yescharacteristic
273#14519756—21no—
274#14519755—21no—
275#14519755—21no—
276#14519754—21no—
277#14519754—21no—
278#14519754—21no—
279#14519754—21no—
280#14519753—21no—
281#14519753—21no—
282#14519753—21no—
283#14519753—21no—
284#14519753C2311yescharacteristic
285#14519753C2311yescharacteristic
286#14519750—21no—
287#14519749—21no—
288#14519748—21no—
289#14519748—21no—
290#14519748—21no—
291#14519748—21no—
292#14519748—21no—
293#14519748C2311yescharacteristic
294#14519748C2311yescharacteristic
295#14519748C2311yescharacteristic
296#14519748C2311yescharacteristic
297#14519745—21no—
298#14519745—21no—
299#14519745—21no—
300#14519745—21no—
301Q8×Dic61C2311yescharacteristic
302Q8×Dic61C2311yescharacteristic
303C4×Dic122—21no—
304C4×Dic122D411yescharacteristic
305C4×Dic122C2311yescharacteristic
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308#14519742—21no—
309#14519742—21no—
310C4×D244D411yescharacteristic
311C4×D244C2311yescharacteristic
312C4×D244C2311yescharacteristic
313C4×D244C2311yescharacteristic
314D4×Dic61—21no—
315D4×Dic61—21no—
316D4×Dic61C2311yescharacteristic
317D4×Dic61C2311yescharacteristic
318D4×Dic61C2311yescharacteristic
319D4×Dic61C2311yescharacteristic
320#14519739—21no—
321#14519739C2311yescharacteristic
322#14519739C2311yescharacteristic
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326C4×C22⋊D61—21no—
327C4×C22⋊D61—21no—
328C4×C22⋊D61—21no—
329C4×C22⋊D61—21no—
330C4×C22⋊D61D411yescharacteristic
331C4×C22⋊D61D411yescharacteristic
332C4×C22⋊D61C2311yescharacteristic
333C4×C22⋊D61C2311yescharacteristic
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519736—21no—
342#14519736—21no—
343#14519736D411yescharacteristic
344#14519736C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519735C2311yescharacteristic
347#14519734—21no—
348#14519734—21no—
349#14519734D411yescharacteristic
350#14519734D411yescharacteristic
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354C2×C4⋊Dic61C2311yescharacteristic
355C2×C4⋊Dic61C2311yescharacteristic
356C2×#11758196—21no—
357C2×#11758196—21no—
358C2×#11758196—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C22⋊C4×D61—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C42×D61—21no—
371C42×D61C2311yescharacteristic
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#124×C61—21no—
447#124×C61C2311yescharacteristic
448#123×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460#117×C61—21no—
461C2×C42×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480#41×C61—82no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61C2×D411yescharacteristic
495C22×C4×C61C2×D411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61C2×D411yescharacteristic
505C2×C22⋊D61C2×D411yescharacteristic
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512#11758224—44no—
513D4×D61—22no—
514D4×D61—22no—
515D4×D61—41no—
516D4×D61—41no—
517D4×D61—44no—
518#11758222—22no—
519#11758222—41no—
520#11758222—42no—
521C2×D244C2×D411yescharacteristic
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—82no—
533C2×C4×D61—82no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—41no—
545SD16×C61—41no—
546D8×C61—41no—
547D8×C61—41no—
548M16×C61—41no—
549M16×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C42×C61—21no—
573C42×C61C2×D411yescharacteristic
574C42×C61C2×D411yescharacteristic
575C42×C61C2411yescharacteristic
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758202—41no—
593#11758201—22no—
594#11758200—41no—
595#11758199—22no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—81no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—42no—
698D4×C61—42no—
699D4×C61—81no—
700D4×C61—81no—
701D4×C61—81no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—41no—
710C2×C4×C61—41no—
711C2×C4×C61—42no—
712C2×C4×C61—42no—
713C2×C4×C61—81no—
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C2511yescharacteristic
720C22⋊D61—22no—
721C22⋊D61—41no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—81no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—42no—
737C2×Dic61—42no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748D244—22no—
749D244—21no—
750D2442−1+412yes—
751C4×D61—22no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—41no—
757C4×D61—41no—
758C4×D61—41no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768Dic122—21no—
769Dic122—21no—
770Dic122—41no—
771Dic122—42no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62119—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—22no—
800C2×D61—21no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—84no—
804C2×D61—84no—
805C2×D61#57512yes—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61C2×2−1+411yescharacteristic
817C4×C61#58511yescharacteristic
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831#3515—611no—
832#3481—611no—
833#3389—611no—
834#3388—611no—
835#3371—611no—
836#3370—611no—
837#3355—611no—
838#3351—611no—
839#3346—611no—
840#3346—611no—
841#3345—611no—
842#3344—611no—
843#3323—611no—
844#3322—611no—
845#3318—611no—
846#3314—611no—
847#3310—611no—
848#3306—611no—
849#3256—611no—
850#3251D6111yescharacteristic, complemented
851#3250—611no—
852#3240—611no—
853#3234—611no—
854#3232—611no—
855#3114—611no—
856#3111—611no—
857#3105—611no—
858#3080—611no—
859#3077—611no—
860C2×#478—611no—
861#2989—611no—
862C2×C61—41no—
863C2×C61—81no—
864C2×C61—81no—
865C2×C61—81no—
866C2×C61#348911yescharacteristic
867C2×C61C2×#57511yescharacteristic
868C2×C61#358511yescharacteristic
869D61—22no—
870D61—41no—
871D61—42no—
872#559—611no—
873#557—611no—
874#554—611no—
875#554—611no—
876#554—611no—
877#554—611no—
878#553—611no—
879#553—611no—
880#553—611no—
881#553—611no—
882#553—1221no—
883#552—611no—
884#552—611no—
885#552—1221no—
886#552—1221no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#547—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#541—1221no—
897#539—1221no—
898#539—1221no—
899#533—611no—
900#532C2×D6111yescharacteristic
901#529—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#529—1221no—
906#529C2×D6111yescharacteristic, complemented
907C2×#125—611no—
908C2×#125—611no—
909#525—1221no—
910#525—1221no—
911#520—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#499—611no—
922#499—611no—
923#490—611no—
924#490—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#484—611no—
933#484—611no—
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#481—611no—
940#481—611no—
941#481—611no—
942#481—611no—
943#480—611no—
944#480—611no—
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478C2×D6111yescharacteristic, complemented
970#478C2×D6111yescharacteristic, complemented
971#476—611no—
972#476—611no—
973#475C2×D6111yescharacteristic, complemented
974#474—611no—
975#474—611no—
976#474C2×D6111yescharacteristic, complemented
977#470—611no—
978#469—611no—
979#469C2×D6111yescharacteristic, complemented
980#469C2×D6111yescharacteristic, complemented
981#468—611no—
982#468—611no—
983#468C2×D6111yescharacteristic, complemented
984#468C2×D6111yescharacteristic, complemented
985#467—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463C2×D6111yescharacteristic, complemented
996#463C2×D6111yescharacteristic, complemented
997#460C2×D6111yescharacteristic
998#459C2×D6111yescharacteristic
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432—611no—
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032C2×#107—611no—
1033C2×#106—611no—
1034#423—611no—
1035#423C2×D6111yescharacteristic, complemented
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C61#6211911yescharacteristic, complemented, Sylow
1044C2×#41—21no—
1045C2×#41—611no—
1046C2×#41—611no—
1047C2×#41—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×D8C22×D6111yescharacteristic
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16C22×D6111yescharacteristic
1064C2×M16C22×D6111yescharacteristic
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#127C22×D6111yescharacteristic
1072#126—21no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#125C22×D6111yescharacteristic
1102#124—21no—
1103#124—611no—
1104#124—611no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8C22×D6111yescharacteristic
1142#121—21no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121C22×D6111yescharacteristic
1155#121C22×D6111yescharacteristic
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—21no—
1172C4×D4—21no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—21no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8C22×D6111yescharacteristic
1272C4⋊C8C22×D6111yescharacteristic
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313#97—611no—
1314#97—611no—
1315#97—611no—
1316#97—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—82no—
1322#41—1222no—
1323#41—2441no—
1324#41—2442no—
1325#41—2444no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8C23×D6111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2444no—
1353C2×D4C23×D6111yescharacteristic
1354C2×D4C23×D6111yescharacteristic
1355C2×D4C23×D6111yescharacteristic
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—41no—
1387SD16—41no—
1388SD16—1222no—
1389SD16—2441no—
1390D8—41no—
1391D8—41no—
1392D8—1222no—
1393M16—41no—
1394M16—41no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4C23×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—611no—
1470C22⋊C4—611no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—611no—
1474C22⋊C4—611no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C42—21no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—611no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—611no—
1520C23—611no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—81no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2442no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—42no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—612no—
1549D4—1222no—
1550D4—1222no—
1551D4—1221no—
1552D4—4881no—
1553D4—2441no—
1554D4—2442no—
1555D4—2442no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—81no—
1572C2×C4—611no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—1222no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—4881no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—612no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—1222no—
1639C22—1221no—
1640C22—1221no—
1641C22—4884no—
1642C22—4884no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059711yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—1222no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949411yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3251C2
socleC22×C61C23×D4
hypercenter#3251D61
hypocenterC61#62119
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3251

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21459785C2semidirect
2. #21459427C2semidirect
3. #21458772C2semidirect
4. #21458771C2semidirect
5. #21458580C2semidirect
6. #21458565C2semidirect
7. #21458420C2semidirect
8. #21458385C2semidirect
9. #21458301C2semidirect
10. #21458299C2semidirect
11. #21458284C2semidirect
12. #21458271C2semidirect
13. #21458030C2semidirect
14. #21458015C2semidirect
15. #21457967C2semidirect
16. #21457895C2semidirect
17. #21457847C2semidirect
18. #21457775C2semidirect
19. #21457217C2semidirect
20. #21457168C2semidirect
21. #21457058C2semidirect
22. #21457005C2semidirect
23. #21456985C2semidirect
24. #21455956C2semidirect
25. #21455922C2semidirect
26. #21455865C2semidirect
27. #21455642C2semidirect
28. #21455614C2semidirect
29. #478×D61C2semidirect
30. #21454933C2semidirect
31. C61×#3251C2semidirect
33. #16840488C22semidirect
36. #16840471C22semidirect
37. #16840470C22semidirect
38. #16840464C22semidirect
43. #16840454C22semidirect
50. #16840412C22semidirect
59. #16840318C22semidirect
63. #16840291C22semidirect
64. #16840291C22semidirect
65. C2×#14519769C22semidirect
66. #125×D61C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840168C22semidirect
78. #16840168C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
83. #16840120C22semidirect
84. #16840120C22semidirect
85. #16840115C22semidirect
86. #16840115C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840100C22semidirect
90. #16840099C22semidirect
91. #16840096C22semidirect
92. #16840094C22semidirect
93. #16840091C22semidirect
96. #16840083C22semidirect
98. #16840079C22semidirect
99. #16840078C22semidirect
100. #16840078C22semidirect
102. #16840074C22semidirect
103. #16840073C22semidirect
104. #16840073C22semidirect
105. #16840071C22semidirect
106. #16840070C22semidirect
107. #16840070C22semidirect
108. #16840070C22semidirect
109. #16840070C22semidirect
110. #16840067C22semidirect
111. #16840066C22semidirect
113. #16840064C22semidirect
114. #16840064C22semidirect
119. #16840062C22semidirect
120. #16840062C22semidirect
121. #16840062C22semidirect
122. #16840062C22semidirect
124. #16840060C22semidirect
125. #16840060C22semidirect
128. #16840050C22semidirect
130. #16840040C22semidirect
131. #16840019C22semidirect
133. #16840007C22semidirect
135. #16840002C22semidirect
137. #16839990C22semidirect
139. #16839982C22semidirect
140. #16839982C22semidirect
141. #16839981C22semidirect
142. #16839975C22semidirect
143. #16839975C22semidirect
151. #16839891C22semidirect
152. #16839891C22semidirect
153. #16839874C22semidirect
156. #16839867C22semidirect
158. #16839863C22semidirect
159. #16839862C22semidirect
161. SD16×Dic61C22semidirect
163. D8×Dic61C22semidirect
165. #16839838C22semidirect
166. #16839838C22semidirect
169. #16839831C22semidirect
170. #16839831C22semidirect
171. #16839819C22semidirect
172. #16839818C22semidirect
173. #16839814C22semidirect
174. #16839804C22semidirect
175. #16839804C22semidirect
176. #16839803C22semidirect
177. #16839801C22semidirect
178. #107×D61C22semidirect
179. #106×D61C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#529C22semidirect
190. C61×#478C22semidirect
191. C61×#478C22semidirect
192. C61×#475C22semidirect
193. C61×#474C22semidirect
194. C61×#469C22semidirect
195. C61×#469C22semidirect
196. C61×#468C22semidirect
197. C61×#468C22semidirect
198. C61×#463C22semidirect
199. C61×#463C22semidirect
202. C61×#423C22semidirect
850. #3251D61semidirect
906. #529C2×D61semidirect
969. #478C2×D61semidirect
970. #478C2×D61semidirect
973. #475C2×D61semidirect
976. #474C2×D61semidirect
979. #469C2×D61semidirect
980. #469C2×D61semidirect
983. #468C2×D61semidirect
984. #468C2×D61semidirect
995. #463C2×D61semidirect
996. #463C2×D61semidirect
1035. #423C2×D61semidirect
1043. C61#62119semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214597852
#214594272
#214587722
#214587712
#214585802
#214585652
#214584202
#214583852
#214583012
#214582992
#214582842
#214582712
#214580302
#214580152
#214579672
#214578952
#214578472
#214577752
#214572172
#214571682
#214570582
#214570052
#214569852
#214559562
#214559222
#214558652
#214556422
#214556142
#478×D612
#214549332
C61×#32512
#6211961